mjou_061_001_018.pdf 202 KB
Yang, Yu Research Institute for Mathematical Sciences Kyoto University
Let R be a complete discrete valuation ring with algebraically residue field of characteristic p > 0 and X a stable curve over R. In the present paper, we study the geometry of coverings of X. Under certain assumptions, we prove that, by replacing R by a finite extension of R, there exists a morphism of stable curves f : Y → X over R such that the morphism fη : Yη → Xη induced by f on generic fibers is finite étale and the morphism fs : Ys → Xs induced by f on special fibers is non-finite.
Mathematics Subject Classification. Primary 14H30; Secondary 11G20.
Mathematical Journal of Okayama University
Department of Mathematics, Faculty of Science, Okayama University
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